Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Benchmarking dark matter search using a parity-check protocol with machine-learning optimized pulses

Yu-Han Chang1, Ilya Moskalenko1, Marko Kuzmanović1, Ognjen Stanisavljević1, Isak Björkman1, David Díez-Ibáñez2, Yikun Gu2, Akash V. Dixit3, Igor G. Irastorza2 et al.

Gheorghe Sorin Paraoanu1

Phys. Rev. D 114, 052011 – Published 17 September, 2026

DOI: https://doi.org/10.1103/m92t-xwgt

Abstract

We report on an improved microwave detection protocol for dark matter candidates such as the axion and the dark photon. We employ a superconducting transmon qubit dispersively coupled to a double-cavity system, enabling quantum nondemolition measurements of the photon occupation in a relatively short-lived storage cavity. To reduce the experimental cycle time and enhance sensitivity for axion and dark photon searches, we operate this detector in a regime of increased qubit–cavity coupling, resulting in Stark shifts of 4.6 MHz. In this regime, conventional control pulses suffer from strong frequency-detuning sensitivity and photon-number-dependent errors. We address this limitation by implementing frequency-detuning-robust π/2 pulses (obtained by machine-learning optimization) that preserve high-fidelity qubit control over a bandwidth of approximately 20 MHz. We experimentally validate this protocol and demonstrate single-photon detection performance comparable to previous implementations, despite significantly reduced qubit coherence times and storage-cavity lifetimes. Using parity-based measurement sequences combined with a hidden Markov model (HMM) analysis, we achieve background rates on the order of O(20)  Hz. In the absence of a magnetic field, we derive exclusion limits on the dark photon model for dark matter, reaching a sensitivity to the kinetic mixing angle of ε95%∼1×10−14 at 5.051 GHz. These results establish machine-learning-robust control as a key enabler for faster, more scalable microwave quantum sensors for dark matter searches.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (56)

  1. V. Trimble, Existence and nature of dark matter in the universe, Annu. Rev. Astron. Astrophys. 25, 425 (1987).
  2. P. A. Zyla, R. M. Barnett, J. Beringer, O. Dahl, D. A. Dwyer, D. E. Groom, K. S. Lugovsky, E. Pianori, D. J. Robinson, C. G. Wohl et al., Review of particle physics (RPP 2020), Prog. Theor. Exp. Phys. 2020, 1 (2020).
  3. R. J. Gaitskell, Direct detection of dark matter, Annu. Rev. Nucl. Part. Sci. 54, 315 (2004).
  4. R. D. Peccei and H. R. Quinn, CP conservation in the presence of pseudoparticles, Phys. Rev. Lett. 38, 1440 (1977).
  5. S. Weinberg, A new light boson?, Phys. Rev. Lett. 40, 223 (1978).
  6. F. Wilczek, Problem of strong P and T invariance in the presence of instantons, Phys. Rev. Lett. 40, 279 (1978).
  7. P. Sikivie, Experimental tests of the “invisible” axion, Phys. Rev. Lett. 51, 1415 (1983).
  8. P. W. Graham, J. Mardon, and S. Rajendran, Vector dark matter from inflationary fluctuations, Phys. Rev. D 93, 103520 (2016).
  9. B. Holdom, Two U(1)’s and ε charge shifts, Phys. Lett. 166B, 196 (1986).
  10. P. Arias, D. Cadamuro, M. Goodsell, J. Jaeckel, J. Redondo, and A. Ringwald, Wispy cold dark matter, J. Cosmol. Astropart. Phys. 06 (2012) 013.
  11. S. Chaudhuri, P. W. Graham, K. Irwin, J. Mardon, S. Rajendran, and Y. Zhao, Radio for hidden-photon dark matter detection, Phys. Rev. D 92, 075012 (2015).
  12. A. Caputo, A. J. Millar, C. A. J. O’Hare, and E. Vitagliano, Dark photon limits: A handbook, Phys. Rev. D 104, 095029 (2021).
  13. L. Zhong, S. Al Kenany, K. Backes, B. Brubaker, S. Cahn, G. Carosi, Y. Gurevich, W. Kindel, S. Lamoreaux, K. Lehnert et al., Results from phase 1 of the HAYSTAC microwave cavity axion experiment, Phys. Rev. D 97, 092001 (2018).
  14. T. Braine, R. Cervantes, N. Crisosto, N. Du, S. Kimes, L. Rosenberg, G. Rybka, J. Yang, D. Bowring, A. Chou et al. (ADMX Collaboration), Extended search for the invisible axion with the axion dark matter experiment, Phys. Rev. Lett. 124, 101303 (2020).
  15. K. M. Backes, D. A. Palken, S. A. Kenany, B. M. Brubaker, S. Cahn, A. Droster, G. C. Hilton, S. Ghosh, H. Jackson, S. K. Lamoreaux et al., A quantum enhanced search for dark matter axions, Nature (London) 590, 238 (2021).
  16. C. M. Caves, Quantum limits on noise in linear amplifiers, Phys. Rev. D 26, 1817 (1982).
  17. J. E. Kim, Weak-interaction singlet and strong CP invariance, Phys. Rev. Lett. 43, 103 (1979).
  18. M. A. Shifman, A. Vainshtein, and V. I. Zakharov, Can confinement ensure natural CP invariance of strong interactions?, Nucl. Phys. B166, 493 (1980).
  19. A. P. Zhitnitskii, Possible suppression of axion-hadron interactions, Sov. J. Nucl. Phys. 31, 260 (1980), https://www.osti.gov/biblio/7063072.
  20. M. Dine, W. Fischler, and M. Srednicki, A simple solution to the strong CP problem with a harmless axion, Phys. Lett. 104B, 199 (1981).
  21. S. K. Lamoreaux, K. A. van Bibber, K. W. Lehnert, and G. Carosi, Analysis of single-photon and linear amplifier detectors for microwave cavity dark matter axion searches, Phys. Rev. D 88, 035020 (2013).
  22. R. Cervantes, J. Aumentado, C. Braggio, B. Giaccone, D. Frolov, A. Grassellino, R. Harnik, F. Lecocq, O. Melnychuk, R. Pilipenko et al., Deepest sensitivity to wavelike dark photon dark matter with superconducting radio frequency cavities, Phys. Rev. D 110, 043022 (2024).
  23. G. Carosi, C. Cisneros, N. Du, S. Durham, N. Robertson, C. Goodman, M. Guzzetti, C. Hanretty, K. Enzian, L. Rosenberg et al. (ADMX Collaboration), Search for axion dark matter from 1.1 to 1.3 GHz with ADMX, Phys. Rev. Lett. 135, 191001 (2025).
  24. Y. Kim, J. Jeong, S. Youn, S. Bae, K. Lee, A. F. Van Loo, Y. Nakamura, S. Oh, T. Seong, S. Uchaikin et al., Experimental search for invisible dark matter axions around 22  μeV, Phys. Rev. Lett. 133, 051802 (2024).
  25. A. V. Dixit, S. Chakram, K. He, A. Agrawal, R. K. Naik, D. I. Schuster, and A. Chou, Searching for dark matter with a superconducting qubit, Phys. Rev. Lett. 126, 141302 (2021).
  26. H. Paik, D. I. Schuster, L. S. Bishop, G. Kirchmair, G. Catelani, A. P. Sears, B. Johnson, M. Reagor, L. Frunzio, L. I. Glazman et al., Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture, Phys. Rev. Lett. 107, 240501 (2011).
  27. M. Reagor, W. Pfaff, C. Axline, R. W. Heeres, N. Ofek, K. Sliwa, E. Holland, C. Wang, J. Blumoff, K. Chou et al., Quantum memory with millisecond coherence in circuit QED, Phys. Rev. B 94, 014506 (2016).
  28. A. Romanenko, R. Pilipenko, S. Zorzetti, D. Frolov, M. Awida, S. Belomestnykh, S. Posen, and A. Grassellino, Three-dimensional superconducting resonators at T<20 mk with photon lifetimes up to τ=2 s, Phys. Rev. Appl. 13, 034032 (2020).
  29. S. Chakram, A. E. Oriani, R. K. Naik, A. V. Dixit, K. He, A. Agrawal, H. Kwon, and D. I. Schuster, Seamless high-q microwave cavities for multimode circuit quantum electrodynamics, Phys. Rev. Lett. 127, 107701 (2021).
  30. O. Milul, B. Guttel, U. Goldblatt, S. Hazanov, L. M. Joshi, D. Chausovsky, N. Kahn, E. Çiftyürek, F. Lafont, and S. Rosenblum, Superconducting cavity qubit with tens of milliseconds single-photon coherence time, PRX Quantum 4, 030336 (2023).
  31. T. Takenaka, T. Kubo, I. Mahoob, K. Mizuno, H. Inoue, T. Saeki, and S. Saito, Three-dimensional niobium coaxial cavity with ∼0.1  second lifetime, Phys. Rev. Appl. 25, 034076 (2026).
  32. A. E. Oriani, F. Zhao, T. Roy, A. Anferov, K. He, A. Agrawal, R. Banerjee, S. Chakram, and D. I. Schuster, Niobium coaxial cavities with internal quality factors exceeding 1.4×109 for circuit quantum electrodynamics, Phys. Rev. Appl. 24, 044080 (2025).
  33. D. Bafia, B. Abdisatarov, R. Pilipenko, Y. Lu, G. Eremeev, A. Romanenko, and A. Grassellino, Quantifying trapped magnetic vortex losses in niobium resonators at mk temperatures, Appl. Phys. Lett. 127, 152601 (2025).
  34. T. Braine, G. Rybka, A. A. Baker, J. Brodsky, G. Carosi, N. Du, N. Woollett, S. Knirck, and M. Jones (ADMX Collaboration), Multi-mode analysis of surface losses in a superconducting microwave resonator in high magnetic fields, Rev. Sci. Instrum. 94 (2023).
  35. S. Posen, M. Checchin, O. Melnychuk, T. Ring, I. Gonin, and T. Khabiboulline, High-quality-factor superconducting cavities in tesla-scale magnetic fields for dark-matter searches, Phys. Rev. Appl. 20, 034004 (2023).
  36. A. Gurevich, Enhancement of rf breakdown field of superconductors by multilayer coating, Appl. Phys. Lett. 88 (2006).
  37. S. Posen, J. Lee, D. N. Seidman, A. Romanenko, B. Tennis, O. Melnychuk, and D. Sergatskov, Advances in Nb3Sn superconducting radiofrequency cavities towards first practical accelerator applications, Supercond. Sci. Technol. 34, 025007 (2021).
  38. D. Ahn, O. Kwon, W. Chung, W. Jang, D. Lee, J. Lee, S. W. Youn, H. Byun, D. Youm, and Y. K. Semertzidis, Biaxially textured YBa2Cu3O7−x microwave cavity in a high magnetic field for a dark-matter axion search, Phys. Rev. Appl. 17, L061005 (2022).
  39. G. Marconato, C. Pira, D. Alesini, D. D’Agostino, O. Azzolini, C. Braggio, R. Caforio, E. Chyhyrynets, A. D’Elia, M. Fracasso et al., NbTi thin-film SRF cavities for dark matter search, IEEE Trans. Appl. Supercond. 34, 1 (2024).
  40. S. Ahyoune, A. Á. Melcón, S. A. Cuendis, S. Calatroni, C. Cogollos, A. Díaz-Morcillo, B. Döbrich, J. Gallego, J. García-Barceló, B. Gimeno et al., Rades axion search results with a high-temperature superconducting cavity in an 11.7 T magnet, J. High Energy Phys. 04 (2025) 113.
  41. M. Kuzmanović, I. Moskalenko, Y.-H. Chang, O. Stanisavljević, C. Warren, E. Hogedal, A. Aggarwal, I. Ahmad, J. Biznárová, M. Dahiya et al., Neural-network-based design and implementation of fast and robust quantum gates, arXiv:2505.02054.
  42. A. Agrawal, A. V. Dixit, T. Roy, S. Chakram, K. He, R. K. Naik, D. I. Schuster, and A. Chou, Stimulated emission of signal photons from dark matter waves, Phys. Rev. Lett. 132, 140801 (2024).
  43. H. Zheng, M. Silveri, R. Brierley, S. Girvin, and K. Lehnert, Accelerating dark-matter axion searches with quantum measurement technology, arXiv:1607.02529.
  44. C. T. Hann, S. S. Elder, C. S. Wang, K. Chou, R. J. Schoelkopf, and L. Jiang, Robust readout of bosonic qubits in the dispersive coupling regime, Phys. Rev. A 98, 022305 (2018).
  45. S. S. Elder, C. S. Wang, P. Reinhold, C. T. Hann, K. S. Chou, B. J. Lester, S. Rosenblum, L. Frunzio, L. Jiang, and R. J. Schoelkopf, High-fidelity measurement of qubits encoded in multilevel superconducting circuits, Phys. Rev. X 10, 011001 (2020).
  46. F. Zhao, Z. Li, A. V. Dixit, T. Roy, A. Vrajitoarea, R. Banerjee, A. Anferov, K.-H. Lee, D. I. Schuster, and A. Chou, Flux-tunable cavity for dark matter detection, Phys. Rev. Lett. 135, 201002 (2025).
  47. I. Batković, A. De Angelis, M. Doro, and M. Manganaro, Axion-like particle searches with IACTs, Universe 7, 185 (2021).
  48. C. O’Hare, cajohare/axionlimits: Axionlimits, https://cajohare.github.io/AxionLimits/ (2020).
  49. Y. Sunada, S. Kono, J. Ilves, S. Tamate, T. Sugiyama, Y. Tabuchi, and Y. Nakamura, Fast readout and reset of a superconducting qubit coupled to a resonator with an intrinsic Purcell filter, Phys. Rev. Appl. 17, 044016 (2022).
  50. L. Chen, H.-X. Li, Y. Lu, C. W. Warren, C. J. Križan, S. Kosen, M. Rommel, S. Ahmed, A. Osman, J. Biznárová et al., Transmon qubit readout fidelity at the threshold for quantum error correction without a quantum-limited amplifier, npj Quantum Inf. 9, 26 (2023).
  51. M. F. Dumas, B. Groleau-Paré, A. McDonald, M. H. Muñoz-Arias, C. Lledó, B. D’Anjou, and A. Blais, Measurement-induced transmon ionization, Phys. Rev. X 14, 041023 (2024).
  52. W.-E. Lin, L.-C. Hsiao, C.-H. Ma, E.-H. Yeh, W.-L. Peng, H.-S. Goan, C.-S. Wu, Y.-N. Chen, Y.-F. Chen, C.-T. Ke, and C.-D. Chen, Mitigation of measurement-induced state transitions via a fast-load and fast-clear readout, arXiv:2607.23681.
  53. 10.3030/101118911.
  54. A. V. Dixit, Searching for dark matter with superconducting qubits, Ph.D. thesis, University of Chicago, 2021.
  55. A. Sultanov, M. Kuzmanović, A. V. Lebedev, and G. S. Paraoanu, Protocol for temperature sensing using a three-level transmon circuit, Appl. Phys. Lett. 119, 144002 (2021).
  56. J. Koch, T. M. Yu, J. Gambetta, A. A. Houck, D. I. Schuster, J. Majer, A. Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Charge-insensitive qubit design derived from the Cooper pair box, Phys. Rev. A 76, 042319 (2007).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation